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Write a recursive formula that generates the terms of the following:
. . .1, 3, 9, 27

my answer:
t1=1, n>2 --> tn= 3tn-1

is this correct?

Let's test
You have the sequence 1, 3, 9, 27 ...
You wrote
t1=1, n>2 => tn= 3tn-1
What is t2? It's undefined so I don't know how to continue.
I think you're supposed to observe that the sequence is powers of 3
1=30, 31, 32, 33, ...
Let t1=1 and tn=3tn-1
Try that and see if it works.

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